Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

B-spline

Index B-spline

In the mathematical subfield of numerical analysis, a B-spline, or basis spline, is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. [1]

42 relations: Basis function, Bézier curve, Box spline, Cauchy distribution, Chebyshev filter, Composite Bézier curve, Computer graphics, Computer-aided design, Computer-aided manufacturing, Continuous function, Curve fitting, De Boor's algorithm, Degree of a polynomial, Divided differences, Domain of a function, Exponential function, Fortran, Homogeneous coordinates, I-spline, Isaac Jacob Schoenberg, Least squares, Linear combination, Loss function, M-spline, Mathematics, Moving average, Normal distribution, Numerical analysis, Numerical differentiation, Overfitting, Penalty method, Piecewise, Polynomial, Savitzky–Golay filter, Smoothness, Spline (mathematics), Spline wavelet, Support (mathematics), T-spline, Tensor product, Terminology, Triangular function.

Basis function

In mathematics, a basis function is an element of a particular basis for a function space.

New!!: B-spline and Basis function · See more »

Bézier curve

A Bézier curve (pronounced in French) is a parametric curve frequently used in computer graphics and related fields.

New!!: B-spline and Bézier curve · See more »

Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables.

New!!: B-spline and Box spline · See more »

Cauchy distribution

The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.

New!!: B-spline and Cauchy distribution · See more »

Chebyshev filter

Chebyshev filters are analog or digital filters having a steeper roll-off and more passband ripple (type I) or stopband ripple (type II) than Butterworth filters.

New!!: B-spline and Chebyshev filter · See more »

Composite Bézier curve

In geometric modelling and in computer graphics, a composite Bézier curve is a piecewise Bézier curve that is at least continuous.

New!!: B-spline and Composite Bézier curve · See more »

Computer graphics

Computer graphics are pictures and films created using computers.

New!!: B-spline and Computer graphics · See more »

Computer-aided design

Computer-aided design (CAD) is the use of computer systems to aid in the creation, modification, analysis, or optimization of a design.

New!!: B-spline and Computer-aided design · See more »

Computer-aided manufacturing

Computer-aided manufacturing (CAM) is the use of software to control machine tools and related ones in the manufacturing of workpieces.

New!!: B-spline and Computer-aided manufacturing · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

New!!: B-spline and Continuous function · See more »

Curve fitting

Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints.

New!!: B-spline and Curve fitting · See more »

De Boor's algorithm

In the mathematical subfield of numerical analysis de Boor's algorithmC.

New!!: B-spline and De Boor's algorithm · See more »

Degree of a polynomial

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

New!!: B-spline and Degree of a polynomial · See more »

Divided differences

In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions.

New!!: B-spline and Divided differences · See more »

Domain of a function

In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.

New!!: B-spline and Domain of a function · See more »

Exponential function

In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.

New!!: B-spline and Exponential function · See more »

Fortran

Fortran (formerly FORTRAN, derived from Formula Translation) is a general-purpose, compiled imperative programming language that is especially suited to numeric computation and scientific computing.

New!!: B-spline and Fortran · See more »

Homogeneous coordinates

In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry, as Cartesian coordinates are used in Euclidean geometry.

New!!: B-spline and Homogeneous coordinates · See more »

I-spline

In the mathematical subfield of numerical analysis, an I-spline is a monotone spline function.

New!!: B-spline and I-spline · See more »

Isaac Jacob Schoenberg

Isaac Jacob Schoenberg (April 21, 1903 – February 21, 1990) was a Romanian-American mathematician, known for his discovery of splines.

New!!: B-spline and Isaac Jacob Schoenberg · See more »

Least squares

The method of least squares is a standard approach in regression analysis to approximate the solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns.

New!!: B-spline and Least squares · See more »

Linear combination

In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).

New!!: B-spline and Linear combination · See more »

Loss function

In mathematical optimization, statistics, econometrics, decision theory, machine learning and computational neuroscience, a loss function or cost function is a function that maps an event or values of one or more variables onto a real number intuitively representing some "cost" associated with the event.

New!!: B-spline and Loss function · See more »

M-spline

In the mathematical subfield of numerical analysis, an M-spline is a non-negative spline function.

New!!: B-spline and M-spline · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

New!!: B-spline and Mathematics · See more »

Moving average

In statistics, a moving average (rolling average or running average) is a calculation to analyze data points by creating series of averages of different subsets of the full data set.

New!!: B-spline and Moving average · See more »

Normal distribution

In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.

New!!: B-spline and Normal distribution · See more »

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

New!!: B-spline and Numerical analysis · See more »

Numerical differentiation

In numerical analysis, numerical differentiation describes algorithms for estimating the derivative of a mathematical function or function subroutine using values of the function and perhaps other knowledge about the function.

New!!: B-spline and Numerical differentiation · See more »

Overfitting

In statistics, overfitting is "the production of an analysis that corresponds too closely or exactly to a particular set of data, and may therefore fail to fit additional data or predict future observations reliably".

New!!: B-spline and Overfitting · See more »

Penalty method

Penalty methods are a certain class of algorithms for solving constrained optimization problems.

New!!: B-spline and Penalty method · See more »

Piecewise

In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain, a sub-domain.

New!!: B-spline and Piecewise · See more »

Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

New!!: B-spline and Polynomial · See more »

Savitzky–Golay filter

A Savitzky–Golay filter is a digital filter that can be applied to a set of digital data points for the purpose of smoothing the data, that is, to increase the signal-to-noise ratio without greatly distorting the signal.

New!!: B-spline and Savitzky–Golay filter · See more »

Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

New!!: B-spline and Smoothness · See more »

Spline (mathematics)

In mathematics, a spline is a function defined piecewise by polynomials.

New!!: B-spline and Spline (mathematics) · See more »

Spline wavelet

In the mathematical theory of wavelets, a spline wavelet is a wavelet constructed using a spline function.

New!!: B-spline and Spline wavelet · See more »

Support (mathematics)

In mathematics, the support of a real-valued function f is the subset of the domain containing those elements which are not mapped to zero.

New!!: B-spline and Support (mathematics) · See more »

T-spline

A T-spline surface can be thought of as a NURBS surface for which a row of control points is allowed to terminate without traversing the entire surface.

New!!: B-spline and T-spline · See more »

Tensor product

In mathematics, the tensor product of two vector spaces and (over the same field) is itself a vector space, together with an operation of bilinear composition, denoted by, from ordered pairs in the Cartesian product into, in a way that generalizes the outer product.

New!!: B-spline and Tensor product · See more »

Terminology

Terminology is the study of terms and their use.

New!!: B-spline and Terminology · See more »

Triangular function

A triangular function (also known as a triangle function, hat function, or tent function) is a function whose graph takes the shape of a triangle.

New!!: B-spline and Triangular function · See more »

Redirects here:

B spline, B splines, B-Spline, B-spline surface, B-splines, Basis B-spline, Bspline, P-spline.

References

[1] https://en.wikipedia.org/wiki/B-spline

OutgoingIncoming
Hey! We are on Facebook now! »